In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this equation. 2005 Elsevier Inc. All rights res...

We analyze the electromagnetic form factors of the ground state baryon octet to fourth order in relativistic baryon chiral perturbation theory. Predictions for the Σ charge radius and the Λ–Σ0 transition moment are found to be in excellent agreement with the available experimental information. Furthermore, the convergence behavior of the hyperon charge radii is shown to be more than satisfactory.

In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [8]. In this part we mainly focus on evolution equations involving fourth order derivatives. The global existence and exponential convergence of metrics for the 1-Q and 4-Q flows are obtained.

We prove the convergence of line iterative methods for solving the linear system arising from a 9-point compact discretization of a special two dimensional convection-diiusion equation. The results provide rigorous justiication for the numerical experiments conducted elsewhere, which demonstrate the high accuracy and stability advantages of the fourth-order compact scheme.

In this paper, we develop a family of optimal fourth-order multipleroot solvers and illustrate the complex dynamical behavior related to the basins of attraction. Numerical examples are presented to demonstrate convergence behavior agreeing with theory. Mathematics Subject Classification: 65H05, 65H99

We consider the self-adjoint singularly perturbed two-point boundary value problems. We know that the numerical methods for solution of such problems based on nonpolynomial spline in grid points, can produce the fourth order method only. So that we look for an alternative to obtain higher order methods. We develop the non-polynomial spline in off-step points to rise the order of accuracy. Based...

The polynomial preserving recovery (PPR) is used to enhance the finite element eigenvalue approximation. Remarkable fourth order convergence is observed for linear elements under structured meshes as well as unstructured initial meshes (produced by the Delaunay triangulation) with the conventional bisection refinement.

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

The Hansen-Patrick method is a third-order iterative used to solve nonlinear equation. requires three evaluation of functions and has an efficiency index 31/3 » 1,4224. This study discusses modification the using second order Taylor series. derivative reduced hyperbolic function with one parameter h. aim improve convergence Hansen-Patrick’s method. Based on analysis, fourth-order envolve functi...